As of 2021, the largest prime number ever found is a number with 24,862,048 digits, known as M77232917. It was found in December 2018 using a program called GIMPS (Great Internet Mersenne Prime Search).
Prime numbers are numbers that are divisible by only 1 and themselves. They are considered to be the "building blocks" of the natural numbers, and are important in number theory and other branches of mathematics.
Mersenne prime is a specific type of prime numbers that can be represented in the form Mp = 2^p -1 where p is a prime number. Mersenne primes are named after the French mathematician Marin Mersenne who studied them in the early 17th century.
The discovery of large prime numbers is a significant event in the world of mathematics, and it is an ongoing effort by many mathematicians and computer scientists. The Great Internet Mersenne Prime Search (GIMPS) is one such effort, it is a distributed computing project which allows anyone to participate in the search for large Mersenne primes by downloading a free program that runs in the background on a computer, searching for primes while the computer is idle.
The discovery of the largest prime number to date was a huge achievement in the field of mathematics and it was found using the GIMPS project, which is the most successful distributed computing project in the history of mathematics. The discovery of large primes has many implications in number theory, cryptography and computer science.
To know more on prime number
https://brainly.com/question/15316808
#SPJ4
Anyone able to help?
Your teacher didn't pick the most simple way to do this problem, the steps your teacher gave is confusing. Using the same concept, I am going to do this my way then I will show a different method.
3x^2+24x+9=0
x^2+8x+3=0
x^2+8x+16+3=16
(x+4)^2=13
x+4=±[tex]\sqrt13[/tex]
x=-4±[tex]\sqrt13[/tex]
This is how you are suppose to solve it with completing the square and all the steps, to fill your teacher's blank you will have to go from my answer to how your teacher want you to write it.
*Now I am going to show you a way to solve this with the quadratic formula.
I am going to use the main formula because its more clear although the even formula is easier for this question.
3x^2+24x+9=0
x=(-24±[tex]\sqrt{24^2-4*3*9}[/tex])/2*3
x=(-24±[tex]\sqrt{576-108}[/tex])/6
x=(-24±[tex]\sqrt{468}[/tex])/6
since 468 is a multiple of 36
x=(-24±6[tex]\sqrt{13[/tex])/6
x=-4±[tex]\sqrt{13}[/tex]
This bottom way is really good if you can calculate quickly, with a lot of practice this way is much better for solving quadratic equations that cannot be factored.
A recipe for cake calls for 3/4 cup of sugar and 2 cups of flour.
Write an equation to represent the relationship between s, sugar, and f, flour.
Answer:
32 tablespoons of sugar.
Step-by-step explanation:
Answer:
32 tablespoons of sugar.
Step-by-step explanation:
In which of the following cases would you most likely buy a point when closing on a home loan?
a. The monthly payment is reduced by $8 and you plan to sell the home at the end of 3 years.
b. The monthly payment is reduced by $10 and you plan to sell the home at the end of 4 years.
The monthly payment is reduced by $12 and you plan to sell the home at the end of 5 years.
d. The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years.
C
Please select the best answer from the choices provided
Ο Α
C
B
0
C
OD
Answer:
d.The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years.
Step-by-step explanation:
Can you all help? Giving brainliest to whoever can help me!
Answer:
x=11
Step-by-step explanation:
15x+15=180 they are supplementary angles to each other so their sum is
equal to 180 degrees.
subtract 15 from both sides
15x=165
divide each side by 15
x=11
Find the Slope of the line that passes through (5, -10) and (5, -4)
A. - 14/10
B. 10/14
C. 0
D. Undefined
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?
a.87 km
b.192 km
c. 216 km
d. 33 km
Answer:
B.) 192 km
Step-by-step explanation:
Since 8km is for 1 centimeter, we multiply 8 by 24 to find how many kilometers there are for 24 centimeters. 8 * 24 is 192 so B.) is your answer.
How do I make the pain go away?
A circular bracelet has a radius of
5cm
Answer:
ye
Step-by-step explanation:
..
om need hjbhhbb points bbbvvghhhhjjnnnnnn
Answer:
la cantidas es 45 mas 8 ya ñara poder tener ka cagdlfenjelsflahevveyjew
11. Justin needs to rent a car to go on vacation. EnvoCar charges $65 and $0.10 per mile. FreedomRide charges $80 and $0.05 per mile.
_________________________
a. How much more does Freedom Ride charge for driving m miles than EnvoCar?
_________________________
b. If Justin’s round-trip distance is 250 miles, which car rental company should he rent from? Explain.
9514 1404 393
Answer:
a) difference of charges is 15 -0.05m
b) Justin should rent from EnvoCar
Step-by-step explanation:
a) EnvoCar charges ...
c = 65 +0.10m . . . . . c = charge for m miles
FreedomRide charges ...
c = 80 +0.05m
Then FreedomRide charges more by ...
(80 +0.05m) -(65 +0.10m) = 15 -0.05m
__
b) If Justin's round-trip distance is 250 miles, the extra charge from FreedomRide is ...
15 -0.05(250) = 2.50
For that distance, EnvoCar costs less. Justin should rent from EnvoCar.
_____
Additional comment
The additional charge from FreedomRide is zero when m=300. Above that mileage, FreedomRide charges less.
What is the volume of the prism given below?
14
12
A. 280 units3
B. 480 units 3
C. 840 units 3
D. 420 units3
AnswerAnswer:
420
Step-by-step explanation:
The volume of the prism is 840 units³ which is correct option (C).
What is volume of prism?The volume of the prism is defined as the measure of the space occupied within a prism . The prism is a three-dimensional shape that has base area, and height. The volume of a prism is equal to the product of base area and height of a prism.
The volume of the prism= B×H
Where, B is base area of prism, and H is height of prism.
Given that,
Length of prism (L) = 12 centimeters
Width of prism(W) = 14 centimeters
Base area (rectangle) of prism = L × W
Base area (rectangle) of prism = 12 × 14
Base area (rectangle) of prism = 168 units²
Height of prism(H) = 5 units
The volume of the prism = B × H
Substitute the values in above formula,
The volume of the prism = 168×5
The volume of the prism = 840 units³
Hence, the volume of the prism is 840 units³.
Learn more about volume of the prism here:
https://brainly.com/question/11336446
#SPJ5
If you place a 13 foot ladder against the top of a 12 foot building, how many feet will the bottom of the ladder be from the bottom of the building?
If you graph a system of equations and they are intersect, they have no solution. True or False someone help pleaseee !!
Answer:
False
Step-by-step explanation:
If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
I hope this is correct.
Mind lending me a hand
Answer:
54
Step-by-step explanation:
55 + 74 + 78 + z + z + 45 = 360
252 + 2z = 360
2z = 108
z = 54
Answer: 288
Step-by-step explanation:
78+74+55=207
The degree of a pentagon is 540°
so 540-207=333
so z has to be 333 but the question says +45 and that would make 333 become 378 and we need to get exactly to 333 so the answer cant be 333 but a number that 45 can be added to ,to make 333 for example 54+45=99 so 54 isnt the answer,next is 144+45 which is 189 that doesnt equall 333 so that isnt the answer either lastly is 288+45 which is 333 Thats the answer ...
The ratio of the measure of the sides of a triangle is 9:7:3. If the perimeter of the triangle is 266 inches, find the length of the shortest side. Help me please!!
Answer:
shortest side = 42 inches
Step-by-step explanation:
9x + 7x + 3x = 266
x = 14
3x = 42
9 (x - 2) = 7x + 5
Does x have a value hurry only 10 minutes left!!
Answer:
x = 11.5
Step-by-step explanation:
9 (x - 2) = 7x + 5
9x - 18 = 7x + 5
+18 +18
9x = 7x + 23
-7x - 7x
2x = 23
--- ---
2 2
x = 11.5
What is the first step in solving this equation :
2x - 7 = 19
Options :
A - Add 7 to both sides
B - Subtract 19 from both sides
C - Subtract 7 from both sides
D - Divide both sides by 2
Please help its due in 20 minutes!!
the answer is:
2x = 19 + 7
2x= 26
x= 13
One day 1 2 tried to make a pie. Unfortunately, she only had 3, and no sugar, so she decided to use 4 to sweeten it. The pie bubbled over in the oven and looked a mess. Not one to be discouraged, she decided to remedy the situation by covering the pie with 5 . When her 6 came over, and saw what she'd done, they 7 because 8 her pie ended up 9 but the 10 still needs to be cleaned
Answer:
even though there's no options or context,most likely answers are 1.little
2.Suzzy
3. flour
4.molases
5.foil
6 aunt
7. ate
8.
9.good
10.kitchen

Determine the value of x.
A) 4.96
B) 2.90
C) 11.62
D) 0.73
The value of x in the triangle is 11.62
How to solve for x?The complete question is in the attached image
From the image, we have the following tangent function
tan(71) = x/4
Make x the subject
x = 4 * tan(71)
Evaluate the expression
x = 11.62
Hence, the value of x is 11.62
Read more about right triangles at:
https://brainly.com/question/2437195
#SPJ1
Answer:
11.62
Step-by-step explanation:
took the test
Finding a percentage of o total amount without a calculator...
An item is regularly priced at $35. It is on sale for 40% off the regular price. How much (In dollars) Is discounted from the regular price?
Amount discounted: si
х
5
?
Help
35 - 0.80*35 = x
35 - 28 = x
7 = x
x = 7
He paid $7
Suppose you write a system of equations to find out which of two video stores is cheaper to join, depending on the number of videos you will rent. You solve the system and find that it has infinitely many solutions. What would that mean in terms of the problem? A. One video store is more expensive than the other no matter how many videos are rented. B. One video store is cheaper up to a certain number of videos rented, and then the other is cheaper. C. Both video stores cost the same no matter how many videos are rented. D. The problem cannot be solved.
o MULTIPLE CHOICE QUESTION What should the graph look like for: x <3
if you have a graphing calculator (i use a website called desmos) put in x < 3. i attached a photo of what the graph should look like. the shaded area is where the solutions are. since the shaded area ends with a dotted line, points on that dotted line are not part of the solution.
i hope this helps! sorry i couldn't give a more descriptive explanation... it's pretty much all in the picture lol. have a lovely day! <3
Answer:
getting points since this is an old question tehe
Jacob joined a gym for a year. His total cost for the year was $410, including the monthly
Answer:
What's your question ask the full question
a^2 + b^2 + 2bc - 2ca - 2ab
A store has a 20% off sale on pants. With this discount, the price of one pair of paints is $15.20. What was the original price of the pants?
2 x 5 x 10 helppppppp
Answer: 100
Step-by-step explanation:2*5 =10 then 10*10 is 100
Answer:
100
Step-by-step explanation:
so, here is how to work this problem out
2*5 = 10
10*10 = 100
Simplify the following
(c) 2(а - 3) - 5[a - 2(a - 4)
Step-by-step explanation:
Let's simplify step-by-step.
2(a−3)−5a−2(a−4)
Distribute:
=(2)(a)+(2)(−3)+−5a+(−2)(a)+(−2)(−4)
=2a+−6+−5a+−2a+8
Combine Like Terms:
=2a+−6+−5a+−2a+8
=(2a+−5a+−2a)+(−6+8)
=−5a+2
If a varies directly as the cube root of b and if a=3 and b=64.find the formula connecting the variables hence find b when a=15/4
Answer:
b = 125
Step-by-step explanation:
Given a varies directly as [tex]\sqrt[3]{b}[/tex] then the equation relating them is
a = k[tex]\sqrt[3]{b}[/tex] ← k is the constant of variation
To find k use the condition a = 3 , b = 64 , then
3 = k[tex]\sqrt[3]{64}[/tex] = 4k ( divide both sides by 4 )
[tex]\frac{3}{4}[/tex] = k
a = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{b}[/tex] ← equation of variation
When a = [tex]\frac{15}{4}[/tex] , then
[tex]\frac{15}{4}[/tex] = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{b}[/tex] ( multiply both sides by 4 to clear the fractions )
15 = 3[tex]\sqrt[3]{b}[/tex] ( divide both sides by 3 )
5 = [tex]\sqrt[3]{b}[/tex] , then
b = 5³ = 125
2 multiplied by 4 times
a. 81
b. 8,000
c. 16
20 is the base, 3 is the exponent
a. 81
b. 8,000
c. 16
Answer:
2×2×2×2=16. hope u like it
If 1 large popcorn and 4 large drinks cost $21 how much does 1 large popcorn cost?
Answer:
6-7 dollars maybe?
Step-by-step explanation:
you didn't give a picture so Im just rounding
(sorry if I'm wrong)
I need help on this question